To calculate: The 2 by 3 and 3 by 2 matrices that represent the production of stainless steel and aluminum with different capacities.
Answer to Problem 85AYU
The 2 by 3 and 3 by 2 matrices that represent the production of stainless steel and aluminum on different days are,
Explanation of Solution
Given information:
Number of stainless steel containers along with their capacities are, 500 with 10 gallon capacity, 350 with 5 gallon capacity and 400 with 1 gallon capacity.
Number of aluminum containers along with their capacities are, 700 with 10 gallon capacity, 500 with 5 gallon capacity and 850 with 1 gallon capacity.
Calculation:
Consider the provided information that the number of stainless steel containers along with their capacities are, 500 with 10 gallon capacity, 350 with 5 gallon capacity and 400 with 1 gallon capacity.
Number of aluminum containers along with their capacities are, 700 with 10 gallon capacity, 500 with 5 gallon capacity and 850 with 1 gallon capacity.
The above data can be represented as a
The above data can be represented as a
To calculate: The matrix representation of amount of material used.
Answer to Problem 85AYU
The matrix representation of amount of material used is
Explanation of Solution
Given information:
The amount of material used in 10 gallon containers is 15 pounds, for 5 gallon containers is 8 pounds and for I gallon containers is 3 pounds.
It is provided that the amount of material used in 10 gallon containers is 15 pounds, for 5 gallon containers is 8 pounds and for I gallon containers is 3 pounds.
Construct a 3 by 1 column matrix to represent the amount of material used.
Therefore, amount of material used is
To calculate: The day’s usage of material.
Answer to Problem 85AYU
The usage of steel is 11500 pounds and aluminum is 17050 pounds.
Explanation of Solution
Given information:
The matrix representation of amount of material used is
The 2 by 3 matrix that represent the production of stainless steel and aluminum on different days is,
It is provided that matrix representation of amount of material used is
The 2 by 3 matrix that represent the production of stainless steel and aluminum on different days is,
Total day’s usage of material is
Thus, day’s usage of steel is 11500 pounds and aluminum is 17050 pounds.
To calculate: The matrix representation of cost of steel and aluminum.
Answer to Problem 85AYU
The matrix representation of cost of steel and aluminum is
Explanation of Solution
Given information:
The cost of stainless steel is
It is provided that the cost of stainless steel is
Construct a 1 by 2 column matrix to represent the cost.
Therefore, cost of steel and aluminum is
To calculate: The total cost of day’s production.
Answer to Problem 85AYU
The total cost of day’s production is
Explanation of Solution
Given information:
The matrix representation of cost of steel and aluminum is
Total day’s usage of material is
It is provided that matrix representation of cost of steel and aluminum is
Total day’s usage of material is
Total cost of day’s production is
Thus, total cost of day’s production is
Chapter 11 Solutions
Precalculus
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus & Its Applications (14th Edition)
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